F. N. Garif'yanov, S. A. Modina, “The Carleman kernel and its applications”, Sibirsk. Mat. Zh., 53:6 (2012), 1263–1273; Siberian Math. J., 53:6 (2012), 1011

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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 6, Pages 1263–1273 (Mi smj2380)

This article is cited in 19 scientific papers (total in 19 papers)

The Carleman kernel and its applications

F. N. Garif'yanov, S. A. Modina

Kazan State Energy University, Kazan, Russia

Full-text PDF (296 kB) Citations (19)

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Abstract: We examine the properties of the Carleman kernel and present some applications to the theory of entire functions and difference operators.

Keywords: Carleman boundary value problem, difference equation, moment problem.

Received: 26.02.2012

English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 6, Pages 1011–1020
DOI: https://doi.org/10.1134/S0037446612060055

Bibliographic databases:

Document Type: Article

UDC: 517.518+517.18

Language: Russian

Citation: F. N. Garif'yanov, S. A. Modina, “The Carleman kernel and its applications”, Sibirsk. Mat. Zh., 53:6 (2012), 1263–1273; Siberian Math. J., 53:6 (2012), 1011–1020

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj2380

https://www.mathnet.ru/eng/smj/v53/i6/p1263

This publication is cited in the following 19 articles:

F. N. Garifyanov, E. V. Strezhneva, “O raznostnom uravnenii s golomorfnymi koeffitsientami, porozhdennom shestiugolnikom”, Izv. vuzov. Matem., 2024, no. 8, 20–26
F. N. Garif'yanov, E. V. Strezhneva, “On a Difference Equation with Holomorphic Coefficients Generated by a Hexagon”, Russ Math., 68:8 (2024), 16
F. N. Garifyanov, E. V. Strezhneva, “Summarno-raznostnoe uravnenie s golomorfnymi koeffitsientami, porozhdennoe pyatiugolnikom, i ego prilozheniya”, Izv. vuzov. Matem., 2023, no. 8, 3–9
F. N. Garif'yanov, E. V. Strezhneva, “On applications of the dihedral group to interpolation problems for entire functions”, Probl. anal. Issues Anal., 12(30):3 (2023), 41–49
F. Garif'yanov, E. Strezhneva, “Functional Equation Induced by a Half-Disk and Its Application”, Lobachevskii J Math, 44:4 (2023), 1311
F. N. Garif'yanov, E. V. Strezhneva, “On a Functional Equation with Holomorphic Coefficients Associated with a Finite Group”, Russ Math., 67:8 (2023), 1
F. Garif'yanov, E. Strezhneva, “Difference Equations and Interpolation Problems for Entire Functions Induced by a Square”, Lobachevskii J Math, 44:12 (2023), 5226
F. N. Garif'yanov, E. V. Strezhneva, “Regularization of the total equation with holomorphic coefficients generated by a triangle”, Russian Math. (Iz. VUZ), 66:8 (2022), 27–30
F. N. Garif'yanov, “Polyelement functional equations related to the Carleman kernel and their applications”, Russian Math. (Iz. VUZ), 66:11 (2022), 18–32
F. N. Garif'yanov, E. V. Strezhneva, “On a Carleman problem in the case of a doubly periodic group”, Probl. anal. Issues Anal., 11(29):3 (2022), 45–55
F. N. Garif'yanov, E. V. Strezhneva, “Sum-difference equation for analytic functions generated by triangle and its applications”, Ufa Math. J., 13:4 (2021), 17–22
F. N. Garif'yanov, E. V. Strezhneva, “Sum-difference equation for analytic functions, generated by a hexagon, and its applications”, Russian Math. (Iz. VUZ), 64:7 (2020), 48–53
Garif'yanov F.N. Strezhneva E.V., “a Summary Equation For Functions Holomorphic Outside Two Quadrangles, With Application”, Lobachevskii J. Math., 41:11, SI (2020), 2149–2154
F. N. Garifyanov, E. V. Strezhneva, “O probleme momentov dlya tselykh funktsii na neskolkikh luchakh, indutsirovannoi kvadratom”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 161, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2019, 119–126
Garif'yanov F.N., Strezhneva E.V., “Biorthogonal Systems of Analytic Functions Generated By a Regular Triangle”, Lobachevskii J. Math., 40:9, SI (2019), 1275–1282
F. N. Garif'yanov, E. V. Strezhneva, “Interpolation problems for entire functions induced by regular hexagons”, Siberian Math. J., 59:1 (2018), 59–64
F. N. Garif'yanov, “Multielement equations for analytic functions in the plane with cuts”, Siberian Math. J., 57:2 (2016), 213–217
E. P. Aksenteva, F. N. Garifyanov, “Sum-difference equation for analytic functions generated by pentagon and its application”, Lobachevskii J. Math., 37:2 (2016), 101–104
F. N. Garifyanov, A. F. Garifyanov, “On functional equations related to a dihedral group”, Russian Math. (Iz. VUZ), 58:11 (2014), 28–35

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	90
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